Answers
Answer:
[tex]\boxed {\boxed {\sf x \approx 23.49 \ cm }}[/tex]
Step-by-step explanation:
This is a right triangle (the small square in the corner signifies a 90 degree angle), so Pythagorean Theorem can be used.
[tex]a^{2} + b^{2} =c^{2}[/tex]
where a and b are the legs of the triangle and c is the hypotenuse. In this triangle, 17 and x are the legs because they form the right angle. 29 in the hypotenuse because it is opposite the right angle.
[tex]a= 17 \\b=x \\c= 29[/tex]
[tex]17^{2} + x^{2} =29^{2}[/tex]
Solve the exponents.
17²=17*17=28929²= 29*29=841[tex]289+x^{2} =841[/tex]
289 is being added to x and the inverse is subtraction. Subtract 289 from both sides to isolate the variable.
[tex]289-289+ x^{2} =841-289\\x^{2} =552[/tex]
x is being squared and the inverse is a square root. Take the square root of both sides of the equation.
[tex]\sqrt {x^{2} }=\sqrt {552}[/tex]
[tex]x=23.4946802489[/tex]
Let's round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 9.
[tex]x \approx 23.49[/tex]
x is approximately 23.49 centimeters.
Related Questions
4). A coin is tossed and a number cube is rolled. Find the probability, p(heads and 7)
Answers
Celia uses 7.9 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answers
Given:
Total paint used = 7.9 pints
Blue paint is [tex]\dfrac{2}{5}[/tex] of this amount.
The remaining paint is white.
To find:
The amount of white paint.
Solution:
Blue paint is [tex]\dfrac{2}{5}[/tex] of 7.9 pints.
[tex]\text{Blue paint}=7.9\times \dfrac{2}{5}[/tex]
[tex]\text{Blue paint}=3.16[/tex]
Now,
[tex]\text{White paint}=\text{Total paint}-\text{Blue paint}[/tex]
[tex]\text{White paint}=7.9-3.16[/tex]
[tex]\text{White paint}=4.74[/tex]
Therefore, the total white paint used in Celia's bedroom walls is 4.74 pints.
1. Add: 85 + (-96) *
Help
Answers
Answer:
Your answer is -11
Step-by-step explanation:
85-96=-11
consider the system of equations
y = 2/3 x + 1
y = x
what is the solution to the system?
A. (0,0)
B. (0,1)
C. (1,1)
D (3,3)
Answers
Answer:
Use your resources wisely
Step-by-step explanation:
Answer:
[tex] \frac{2}{3} x + 1 = x \\ \frac{1}{3} x = 1 \\ x = 3 \\ y = 3[/tex]
X=3,y=3
Many ATM machines in Las Vegas casinos charge a $6 fee each time a person withdraws money. If Adam used the ATM 3 times last Saturday at the Bellagio in Las Vegas, how much money was taken out of his checking account in ATM fees?
Answers
Answer:
$18
Step-by-step explanation:
what's
[tex]12 + 24 \div 6[/tex]
Answers
36 divide by 6 is 6
A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?
Answers
Answer:
The red marbles.
Step-by-step explanation:
It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answers
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
Can someone plzzzz help meeee!!!!!
Answers
Answer:
1. Interpret (L): To explain or to give meaning to.
2. Variable: (F) Something that can change or influence the results of an experiment.
3. Observe (I): To notice what occurs during an experiment.
4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.
5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.
6. Ethical (E): Following the rules of being being fair and honest.
7. Hypothesis (G): An educated guess or reasonable assumption.
8. Research (D): To conduct an investigation into current information about something.
9. Experiment (C): A test or trial performed in order to discover something.
10. Conclusion (K): The result or outcome of something.
11. Procedure (H): A sequence of steps involved in performing an experiment.
If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!
Work out the reciprocal of 0.125
Answers
Answer:
The right answer is 8 hope I helped
4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.
Answers
Answer:
15n = 330
Value of n(number of lawns) = 22
Step-by-step explanation:
She has already saved $85 which means the amount of money she needs left will be
=$415 - $85
= $330
Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.
15n = 330
To go further, divide both sides by 15 to get the number of lawns she has to mow.
[tex]\frac{15n}{15} =\frac{330}{15}[/tex]
n = 22
∴ She needs to mow 22 lawns to get the amount of money she needs.
Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. What was the total amount of gasoline Michael used?
Answers
Answer:
11/40 of a gallon
Step-by-step explanation:
The amount of gasoline in the tank of lawn mower = 3/8 of a gallon
Then he put the amount of gasoline in the tank = 4/10 of a gallon
The total amount of gasoline filled in the tank = 3/8 + 4/10
= 3/8 + 2/5
= 15+16/40
= 31/40
The total amount of gasoline filled in the tank = 31/40
The amount of gasoline left in the tank after mowing = 2/4
Total amount of gasoline Michael used = 31/40 - 2/4
= 31-20/40
= 11/40 of a gallon
Alternatively, you can follow this method:
Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)
= 3/8 + (2/5 - 2/4)
= 3/8 + ( 8-10/20)
= 3/8 + (-2/20)
= 3/8 + (-1/10)
= 3/8 - 1/10
= 30-8/80
= 22/80
= 11/40 of a gallon
Total amount of gasoline Michael used = 11/40 of a gallon
2.
Brian was reading a novel. He said, “If I take the sum of the number of the page I'm on
with the number of the page on its right, I get 425." Which page is Brian on?
Answers
2x+1=425
2x=424
x=212
Therefore, Brian is on page 212.
How do I Solve for x.
4x^2-64=0
Answers
Answer:
Step-by-step explanation:
.
4
2
Answer:
x = 4, -4
Step-by-step explanation:
You can do this by simply pressing the calculator OR by simplify
4x^2 - 64 = 0
(2x)^2 - 8^2 = 0
(2x - 8)(2x + 8) = 0
∴ 2x - 8 = 0 or 2x + 8 = 0
x = 4 or x = -4
You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?
Answers
Answer:
1,187.50
Step-by-step explanation:
Answer:
Step-by-step expiation
we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3
2.5% = 0.025
0.025 x 3 = 0.075
Then we will multiple the tax rate by our principal,
52,000 x 0.075 = 3,900
52,000 - 3,900 = 48,100
This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.
Translate til
Eight times the sum of a number and 3 is equal to 5.
Use the variable w for the unknown number.
Answers
Answer:
8(w+3) = 5
Step-by-step explanation:
Find the smallest value of m such that the LCM of m and 34 is 374.
Answers
Answer:
11
first you use a number tree
34 374
/\ /\
2 17 2 187
/\
11 17
express the numbers in prime factors
374=2×11×17
34 =2×17
in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17
So m factors are 2 and 11
which means m is 2×11=22
22 in its smallest form is 11
If y varies directly as x, if y = 8 when x = 4, find y when x = 48
Answers
Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970 y en 2001 se incrementó 2,25 veces en relación a 1988. ¿Cuántos habitantes había en el año 2001?
Answers
Answer:
En 2001 el pueblo poseía 45.826 habitantes.
Step-by-step explanation:
Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:
13.578*1,5= 20.367
Por lo que en 1988 el pueblo poseía 20.367 habitantes.
En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:
20.367* 2,25= 45.825,75≅ 45.826
Por lo que en 2001 el pueblo poseía 45.826 habitantes.
For each ordered pair determine whether it’s a solution to 5x plus 2y = -1
Answers
Answer:
1,-3
Step-by-step explanation:
What is the following sum of 3/10 + 39/100
Answers
Answer:
.69 is the answer to the question
The probability distribution for a random variable x is given in the table Find the probability that X<=20
Answers
probability for X<=20 is 1
what is probability?
the probability is the department of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The chance of an event is a number between 0 and 1, in which, roughly speaking, zero indicates the impossibility of the event and 1 shows certainty.
probability = the number of ways of attaining success. the total number of possible results. For instance, the chance of flipping a coin and its being heads is ½, due to the fact there may be 1 way of getting a head and the total number of possible outcomes is two (a head or tail).
Learn more about probability here
https://brainly.com/question/24756209
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PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1
Answers
Answer:
22
50
Step-by-step explanation:
Please help me give Brain
Answers
Answer:168
Step-by-step explanation:
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
A. 4
O
B. 1
o
C. -1
D. -4
SUBMIT
Answers
Answer:
-1
Step-by-step explanation:
We can use the slope formula when given two points
m= ( y2-y1)/(x2-x1)
= ( 3-7)/(2 - -2)
= (3-7)/( 2+2)
= -4/4
= -1
Of the males surveyed, what proportion selected small T-Shirt size
Answers
Answer:
this question doesn't make sense
if your smart what is 1 + 1= ?
Answers
1 + 1 = 2
Answer:
1+1=2
easy
plz mark as brainliest
what is the degree of angle YQR
Answers
Answer: Angle is 3
Step-by-step explanation:
16x - 27 = 5x + 6
-5x -5x
______________
11x - 27 = 6
+ 27 +27
___________
11x = 33
__ __
11 11
x = 3
which answer is correct
Answers
Answer:
The answer is b
what is 2,829 divided by 33
i realy need help with this
Answers
Answer:
85.72 is ur answer...
Hope it helps!!!